1.2 (M2) Warm Up

1
1.2 (M2) Warm Up

• Write the complex number in standard form.
• 1.
• 2.
• 3.

2
1.2 (M2) Add Subtract Complex Numbers
3
Add Complex numbers

• (7 i) (5 3i)
• Group like terms.
• (7 5) (-i 3i)
• Simplify.
• 12 2i

4
Examples . . .

1. (8 2i) (2 3i)
2. (7 i) (4 2i)
3. (12 4i) (3 9i)

5
Subtract Complex numbers

• b. (5 i) (8 3i)
• Distribute the negative.
• (5 i) (-8 3i)
• Group like terms.
• (5 8) (-i 3i)
• Simplify.
• -3 4i

6
Examples . . .

• 4. (6 4i) (2 4i)
• 5. (8 2i) (9 3i)
• 6. (2 i) (12 6i)

7
Add Subtract Complex Numbers

• Distribute any negatives outside of parentheses.
• Group like terms.
• Simplify.
• Make sure answer is written in standard form.
  (real 1st and complex 2nd)

8

• c. 11 (8 7i) 3i
• Distribute negative.
• 11 8 7i 3i
• Group like terms.
• (11 8) (-7i 3i)
• Simplify.
• 3 4i

9

• d. 4i (-3 3i) 12
• Group like terms.
• (-3 12) (4i 3i)
• Simplify.
• 9 7i

10
Examples . . .

• 7. 8 (2 3i) 9i
• 8. 4 (9 3i) 6i
• 9. -5i (8 i) 3